(a)[2]
Determine the value of $a$.
(b)[4]
Given this value of $a$, solve the inequality $p(x) < 0$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)$ denote the polynomial $2x^3 - x^2 + a$, with $a$ as a constant. It is known that $(2x + 3)$ is a factor of $p(x)$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use $x=-\dfrac{3}{2}$ and make the expression equal to zero (or an equivalent remainder theorem approach)” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI